結果

問題 No.95 Alice and Graph
ユーザー iiljjiiljj
提出日時 2020-05-07 23:43:32
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 1,524 ms / 5,000 ms
コード長 7,577 bytes
コンパイル時間 2,263 ms
コンパイル使用メモリ 210,932 KB
実行使用メモリ 18,876 KB
最終ジャッジ日時 2023-09-16 08:14:10
合計ジャッジ時間 9,642 ms
ジャッジサーバーID
（参考情報） 		judge14 / judge15
このコードへのチャレンジ
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テストケース

テストケース表示
入力 結果 実行時間
実行使用メモリ
testcase_00 AC 718 ms
18,824 KB
testcase_01 AC 118 ms
18,480 KB
testcase_02 AC 113 ms
18,680 KB
testcase_03 AC 119 ms
8,412 KB
testcase_04 AC 1,021 ms
18,716 KB
testcase_05 AC 834 ms
18,776 KB
testcase_06 AC 999 ms
18,876 KB
testcase_07 AC 120 ms
18,684 KB
testcase_08 AC 2 ms
4,376 KB
testcase_09 AC 2 ms
4,376 KB
testcase_10 AC 2 ms
4,380 KB
testcase_11 AC 2 ms
4,376 KB
testcase_12 AC 2 ms
4,380 KB
testcase_13 AC 1,524 ms
18,724 KB
権限があれば一括ダウンロードができます

ソースコード

diff # 

/* #region Head */

#include <bits/stdc++.h>
using namespace std;

using ll = long long;
using ull = unsigned long long;
using ld = long double;
using pll = pair<ll, ll>;
template <class T> using vc = vector<T>;
template <class T> using vvc = vc<vc<T>>;
using vll = vc<ll>;
using vvll = vvc<ll>;
using vld = vc<ld>;
using vvld = vvc<ld>;
using vs = vc<string>;
using vvs = vvc<string>;
template <class T, class U> using um = unordered_map<T, U>;
template <class T> using pq = priority_queue<T>;
template <class T> using pqa = priority_queue<T, vc<T>, greater<T>>;
template <class T> using us = unordered_set<T>;

#define REP(i, m, n) for (ll i = (m), i##_len = (ll)(n); i < i##_len; ++(i))
#define REPM(i, m, n) for (ll i = (m), i##_max = (ll)(n); i <= i##_max; ++(i))
#define REPR(i, m, n) for (ll i = (m), i##_min = (ll)(n); i >= i##_min; --(i))
#define REPD(i, m, n, d) for (ll i = (m), i##_len = (ll)(n); i < i##_len; i += (d))
#define REPMD(i, m, n, d) for (ll i = (m), i##_max = (ll)(n); i <= i##_max; i += (d))
#define REPI(itr, ds) for (auto itr = ds.begin(); itr != ds.end(); itr++)
#define ALL(x) begin(x), end(x)
#define SIZE(x) ((ll)(x).size())
#define PERM(c)                                                                                                        \
    sort(ALL(c));                                                                                                      \
    for (bool c##p = 1; c##p; c##p = next_permutation(ALL(c)))
#define UNIQ(v) v.erase(unique(ALL(v)), v.end());

#define endl '\n'
#define sqrt sqrtl
#define floor floorl
#define log2 log2l

constexpr ll INF = 1'010'000'000'000'000'017LL;
constexpr ll MOD = 1'000'000'007LL; // 1e9 + 7
constexpr ld EPS = 1e-12;
constexpr ld PI = 3.14159265358979323846;

template <typename T> istream &operator>>(istream &is, vc<T> &vec) { // vector 入力
    for (T &x : vec) is >> x;
    return is;
}
template <typename T> ostream &operator<<(ostream &os, vc<T> &vec) { // vector 出力 (for dump)
    os << "{";
    REP(i, 0, SIZE(vec)) os << vec[i] << (i == i_len - 1 ? "" : ", ");
    os << "}";
    return os;
}
template <typename T> ostream &operator>>(ostream &os, vc<T> &vec) { // vector 出力 (inline)
    REP(i, 0, SIZE(vec)) os << vec[i] << (i == i_len - 1 ? "\n" : " ");
    return os;
}

template <typename T, typename U> istream &operator>>(istream &is, pair<T, U> &pair_var) { // pair 入力
    is >> pair_var.first >> pair_var.second;
    return is;
}
template <typename T, typename U> ostream &operator<<(ostream &os, pair<T, U> &pair_var) { // pair 出力
    os << "(" << pair_var.first << ", " << pair_var.second << ")";
    return os;
}

// map, um, set, us 出力
template <class T> ostream &out_iter(ostream &os, T &map_var) {
    os << "{";
    REPI(itr, map_var) {
        os << *itr;
        auto itrcp = itr;
        if (++itrcp != map_var.end()) os << ", ";
    }
    return os << "}";
}
template <typename T, typename U> ostream &operator<<(ostream &os, map<T, U> &map_var) { return out_iter(os, map_var); }
template <typename T, typename U> ostream &operator<<(ostream &os, um<T, U> &map_var) { return out_iter(os, map_var); }
template <typename T> ostream &operator<<(ostream &os, set<T> &set_var) { return out_iter(os, set_var); }
template <typename T> ostream &operator<<(ostream &os, us<T> &set_var) { return out_iter(os, set_var); }
template <typename T> ostream &operator<<(ostream &os, pq<T> &pq_var) {
    pq<T> pq_cp(pq_var);
    os << "{";
    if (!pq_cp.empty()) {
        os << pq_cp.top(), pq_cp.pop();
        while (!pq_cp.empty()) os << ", " << pq_cp.top(), pq_cp.pop();
    }
    return os << "}";
}

// dump
#define DUMPOUT cerr
void dump_func() { DUMPOUT << endl; }
template <class Head, class... Tail> void dump_func(Head &&head, Tail &&... tail) {
    DUMPOUT << head;
    if (sizeof...(Tail) > 0) DUMPOUT << ", ";
    dump_func(move(tail)...);
}

// chmax (更新「される」かもしれない値が前)
template <typename T, typename U, typename Comp = less<>> bool chmax(T &xmax, const U &x, Comp comp = {}) {
    if (comp(xmax, x)) {
        xmax = x;
        return true;
    }
    return false;
}

// chmin (更新「される」かもしれない値が前)
template <typename T, typename U, typename Comp = less<>> bool chmin(T &xmin, const U &x, Comp comp = {}) {
    if (comp(x, xmin)) {
        xmin = x;
        return true;
    }
    return false;
}

// ローカル用
#define DEBUG_

#ifdef DEBUG_
#define DEB
#define dump(...)                                                                                                      \
    DUMPOUT << "  " << string(#__VA_ARGS__) << ": "                                                                    \
            << "[" << to_string(__LINE__) << ":" << __FUNCTION__ << "]" << endl                                        \
            << "    ",                                                                                                 \
        dump_func(__VA_ARGS__)
#else
#define DEB if (false)
#define dump(...)
#endif

struct AtCoderInitialize {
    static constexpr int IOS_PREC = 15;
    static constexpr bool AUTOFLUSH = false;
    AtCoderInitialize() {
        ios_base::sync_with_stdio(false), cin.tie(nullptr), cout.tie(nullptr);
        cout << fixed << setprecision(IOS_PREC);
        if (AUTOFLUSH) cout << unitbuf;
    }
} ATCODER_INITIALIZE;

string yes = "Yes", no = "No";
// string yes = "YES", no = "NO";
void yn(bool p) { cout << (p ? yes : no) << endl; }

/* #endregion */

pll tsp(ll n, function<ll(ll, ll, ll)> dist) {
    vvll dp(1 << n, vll(n, INF)); // [state, last] -> min of max
    // REP(i, 0, n) dp[1 << i][i] = 0;
    dp[1][0] = 0;
    REP(state, 1, 1 << n) REP(from, 0, n) {
        if (~state & (1 << from)) continue;   // 未訪問
        if (dp[state][from] == INF) continue; // from が最後になるような巡回で state に至ることが不能
        REP(to, 0, n) {
            if (state & (1 << to)) continue; // 訪問済み
            chmin(dp[state | (1 << to)][to], dist(dp[state][from], from, to));
        }
    }
    // cout << *min_element(ALL(dp[(1 << n) - 1])) << endl;
    ll last = -1, len = INF;
    REP(i, 0, n) if (chmin(len, dp[(1 << n) - 1][i])) last = i;
    return make_pair(last, len);
}

// Problem
void solve() {
    ll n, m, k;
    cin >> n >> m >> k;
    vll u(m), v(m);
    REP(i, 0, m) {
        cin >> u[i] >> v[i];
        u[i]--, v[i]--;
    }
    vvll dist(n, vll(n, INF));
    REP(i, 0, m) dist[u[i]][v[i]] = dist[v[i]][u[i]] = 1;

    REP(k, 0, n) REP(i, 0, n) REP(j, 0, n) {
        if (dist[i][k] != INF && dist[k][j] != INF) // i→k→j の経路が存在
            chmin(dist[i][j], dist[i][k] + dist[k][j]);
    }

    vll travel_target_nodes;
    travel_target_nodes.push_back(0);

    ll coins = 0;
    REPR(target, n - 1, 1) {
        vvll dp(1 << k, vll(k, INF)); // dp[state][last] := state に至り，最後が last のときの最小距離
        travel_target_nodes.push_back(target); // 仮に入れておく
        auto distl = [&](ll prev, ll from, ll to) {
            return min(INF, prev + dist[travel_target_nodes[from]][travel_target_nodes[to]]);
        };
        auto [last, len] = tsp(SIZE(travel_target_nodes), distl);
        if (last == -1 || len > k)
            travel_target_nodes.pop_back();
        else {
            coins += (1LL << target) - 1;
            // dump(last, len, target);
            if (SIZE(travel_target_nodes) > k) break;
        }
    }
    cout << coins << endl;
}

// entry point
int main() {
    solve();
    return 0;
}
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